Correcting Radial Velocities for Long-Term Magnetic Activity Variations

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Abstract
We study stars in the Lick planetary survey for correlations between simultaneous measurements of high-precision radial velocities vr and magnetic activity (as measured in an SIR emission index from Ca II λ8662). We find significant correlations in ≈30% of the stars. After removing linear trends between SIR and vr, we find that the dispersion in vr in these stars is decreased by an average of 17%, or ≈45% of the dispersion above the measurement noise. F stars and less active stars with variable Ca II H and K lines are the most successfully corrected. The magnitude of the slope of the SIR versus vr relations increases proportional to v sin i and (excepting M dwarfs) tends to decrease with decreasing Teff. We argue that the main cause of these effects is modification of the mean line bisector shape brought on by long-term, magnetic activity-induced changes in the surface brightness and convective patterns. The correlations can be used to partially correct vr data for the effects of long-term activity variations, potentially permitting study of planets around some (higher mass) younger stars and planets producing smaller stellar reflex velocities.

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